On fully nonlinear Loewner-Nirenberg problem of Ricci curvature

Zhenan Sui

doi:10.1016/j.jfa.2024.110379

On fully nonlinear Loewner-Nirenberg problem of Ricci curvature

Zhenan Sui

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations.

Original language	English
Article number	110379
Journal	Journal of Functional Analysis
Volume	286
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2024.110379
State	Published - 1 May 2024

Keywords

A priori estimates
Complete conformal metric
Fully nonlinear elliptic equation
Ricci curvature

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10.1016/j.jfa.2024.110379

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title = "On fully nonlinear Loewner-Nirenberg problem of Ricci curvature",

abstract = "We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations.",

keywords = "A priori estimates, Complete conformal metric, Fully nonlinear elliptic equation, Ricci curvature",

author = "Zhenan Sui",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2024",

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doi = "10.1016/j.jfa.2024.110379",

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AU - Sui, Zhenan

PY - 2024/5/1

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N2 - We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations.

AB - We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations.

KW - A priori estimates

KW - Complete conformal metric

KW - Fully nonlinear elliptic equation

KW - Ricci curvature

UR - https://www.scopus.com/pages/publications/85185762906

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DO - 10.1016/j.jfa.2024.110379

M3 - 文章

AN - SCOPUS:85185762906

SN - 0022-1236

VL - 286

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 9

M1 - 110379

ER -

On fully nonlinear Loewner-Nirenberg problem of Ricci curvature

Abstract

Keywords

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